Ujian Pertengahan Tahun Matematik Tingkatan 1

Answer ALL questions.
1

2

3

State the value of the underlined digit, in base ten, in the number 1100112.
A.

4

C.

B.

8

D.

A.

80

B.

160

B.

B.

3110

D.

2310

C.
5510

1510

7
6

C.

4

D.

2

1111102
11101102

C.

11111102

D.

11111112

428
528

C.

258

D.

228

Express 53 + 3 as a number in base five.
A.

1035

C.

B.

3035

D.

10035

30035

Given that 83 + 5 (8) + 6 = y8, find the value of y.
A.
B.

9

500

Express 25 + 23 + 2 as a number in base eight.
A.

8

D.

Express 126 as a number in base two.
A.
B.

7

320

Given that 1p310 = 2438, find the value of p.
A.

6

C.

Express 101112 as a number in base ten.
B.

5

32

State the value of the digit 5, in base ten, in the number 7502 8.

A.
4

16

80568
10568

C.

8568

D.

1568

Convert 3248 to a number in base two.
A.
B.

1000010112
1000100112

C.

110011002
D.

110101002

10 Convert 2015 directly to an octal number.
A.
B.

258
638

C.

1638

D.

2518

11 Given that x2 = 2435, then x =
A.

10012

C.

B.

1010012

D.

101001012

C.

1100112

D.

1111012

10010012

12 110112 + 1112 =
A.

B.

1000102

1011002

13 Given that 10112 + x = 11102, then x =
A.
B.

102
112

C.

1002

D.

1102

14 Given that 1101112  x = 110012, then x =
A.

101102

C.

B.

110102

D.

111102

1111112

15 Express 101112 as a number in base five.
A.
B.

3014215
435

C.
D.

345

235

16 2 (3x + y)2  15xy =
A.

36x2 + 9xy + 4y2

C.

B.

36x2  3xy + y2

D. 18x2  3xy + 2y2

18x2  9xy + 2y2

17 (3p  m) (p + 2m) =
A.

B.

3p2 + 5pm  2m2

3p2  5pm + 2m2

C.

3p2 + 7pm  2m2

D.

3p2  7pm + 2m2

2 (3  4k) (3 + 4k)

18 Factorise completely 18  32k2.
A.

2 (3  16k) (3 + 16k)

C.

B.

2 (9  4k) (9 + 4k)

D.

2 (9  16k2)

19 Factorise completely 3p2q  12q.
A.

B.

3q (p2  4)

3q (p + 2)2

C.

3q (p  2)2

D.

3q (p + 2) (p  2)

20 Which one of the following graphs represents y = 4  x ?
A.

C.

B.

D.

21 The diagram shows the graph of a quadratic function.

The equation that represent the function is
A.

y = (x + 3) (x 3)

B.

y = (x  3)2

C.

y = x2 + 9
D.

y = 9  x2

22 Which of the following graphs represents y = 5  x2
A.

C.

B.

D.

23 The diagram shows the graph of a quadratic function.

The equation that represent the function is
A.

y = 2x2 + 3x

C.

B.

y = x2  3x + 2

D.

y =  x2 + 2x
y =  x2 + x + 6

24 Which of the following graphs represents y = x3 + 2 ?

A.

C.

B.

D.

25 The diagram shows the graph of a cubic function.

The equation that represent the function is
A.

y = x3  3x

B.

y

x2
 x
2

C.

y =  5  x3

D.

y=

26 Which of the following graphs represents y =
A.

C.

B.

D.

x3
3

2
?
x

27 Which of the following graphs represents xy = 4 ?

A.

C.

B.

D.

 3 1
 1 0
  
 =
28 2 
 4 6
  1 4
A.

 4 2


10 4 

C.

 5 2


 5 2

B.

 4 3


 7 4

D.

 5 2


9 8

 5 2
 2 0    3 1
  3 
  
 =
29 
7
1


 2  3   2 5
A.

14 1 


 15  13 

C.

4 
8


15  13 

B.

 13 4 


16  4 

D.

 7 3


10 0 

 2 8
 1 3   1 c 
  3 
 
 , find the values of b and c.
30 Given that 
 b 0
  2 0   2 0
A.

b = 8, c = 1

C.

b = 4, c = 5

B.

b = 8, c = 5

D.

b = 2, c = 1

 2
31 Given that M + 
 1

3
 0
 = 
4
 3

 2
 , then M =
5 

A.

 2

 2

 5

1 

C.

 2

 4

1

9 

B.

 2

 2

5 

 1

D.

 2

 2

 5

1 

C.

  4


  2

  1
7
  2Q =   , then Q =
32 Given that 
 3 
7
A.

 4
 
 5

 4
 
 2

B.

33

  4


 5 

C.

8

12

 4 
 =
3 
  5

2

  7

A.

8

B.

34

D.

 5

 5 

   1
  2

D.

9

C.

 15 


  6

B.

  13

D.

 5

 2

 m
35 Given that  
3

B.

6  m
 1 = 
 6

3

36 Given
A.

2

2

B.

k

 8

  10

12 

 15 

4 =

A.

A.

 10 

 15 

 3
5 
 k

0
 =  24
1 

1

1
2
3
2

A.

1

2


B.

  1 12 


 2  3
2


m  4
 , find the value of m.
 3 
C.

4

D.

5

5 , calculate the value of k.

12

 3
37 The inverse matrix of 
 4

20 

 8 

C.

3

D.

8

C.

 2

 4

 1
 is
 2 

D.

1 

 3 
 2

 4

38 Round off 63864 correct to three significant figures.
A.

638

C.

B.

639

D.

63800
63900

39 Round off 0.08108 correct to three significant figures.

 1

 3 

A.

0.08

C.

B.

0.081

D.

0.0810
0.0811

40 Round off 1.00764 correct to four significant figures.
A.

B.

1.008

1.0080

C.

1.0076
D.

1.00764

End of the questions